hectorav8314 hectorav8314
  • 23-05-2018
  • Mathematics
contestada

Marguerite drew a rectangle with vertices A(-2,-1) B(-2,-4) and C (1,-4) what are the coordinates of the fourth vortex?

Respuesta :

skyvrana
skyvrana skyvrana
  • 29-05-2018
The fourth vortex is (1, -1)
Answer Link
asadullahgiki
asadullahgiki asadullahgiki
  • 20-07-2018

Concept:

we use the vector method to solve this problem, take all the vertices in vector foam.

In the rectangle their exist two pair of parallel and equal sides, take the one pair and solve for unknown vertex.

BA=CD

A-B = D-C

(-2i-j)-(-2i-4j) = (xi+yj)-(1i-4j)

(-2i-j+2i+4j) = (xi+yj-1i+4j)

3j = xi+yj-1i+4j

i+3j-4j = xi+yj

1i-1j= xi+yj

by comparing,

x= 1

y= -1

so D vertex is (1, -1)

Answer Link

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